Iterated integrals on products of one variable multiple polylogarithms
文献类型：期刊论文
| 作者 | Li, Jiangtao |
| 刊名 | INTERNATIONAL JOURNAL OF NUMBER THEORY
 |
| 出版日期 | 2020-11-01 |
| 卷号 | 16期号:10页码:2167-2186 |
| 关键词 | Multiple zeta values polylogarithms partial orders iterated integrals |
| ISSN号 | 1793-0421 |
| DOI | 10.1142/S1793042120501122 |
| 英文摘要 | In this paper, we show that the iterated integrals on products of one variable multiple polylogarithms from 0 to 1 are actually in the algebra of multiple zeta values if they are convergent. In the divergent case, we define the regularized iterated integrals from 0 to 1. By the same method, we show that the regularized iterated integrals are also in the algebra of multiple zeta values. As an application, we give new series representations for multiple zeta values and calculate some interesting examples of iterated integrals. |
| 资助项目 | China Postdoctoral Science Foundation[2019M660828] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000586777900004 |
| 出版者 | WORLD SCIENTIFIC PUBL CO PTE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/52528]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Li, Jiangtao |
| 作者单位 | Chinese Acad Sci, Hua Loo Keng Ctr Math Sci, Acad Math & Syst Sci, Beijing, Peoples R China |
| 推荐引用方式 GB/T 7714 | Li, Jiangtao. Iterated integrals on products of one variable multiple polylogarithms[J]. INTERNATIONAL JOURNAL OF NUMBER THEORY,2020,16(10):2167-2186. |
| APA | Li, Jiangtao.(2020).Iterated integrals on products of one variable multiple polylogarithms.INTERNATIONAL JOURNAL OF NUMBER THEORY,16(10),2167-2186. |
| MLA | Li, Jiangtao."Iterated integrals on products of one variable multiple polylogarithms".INTERNATIONAL JOURNAL OF NUMBER THEORY 16.10(2020):2167-2186. |
入库方式： OAI收割
来源：数学与系统科学研究院
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